"Velocity [V] is a useful indicator, of the relative size, of the financial sector, in countries lacking sophisticated capital markets -- particularly when the broad definition of money, M2, is used. The lower the Velocity, the higher the ratio of Money [M] to Gross Domestic Product (GDP), and hence, ceteris paribus, the larger the supply of domestic credit, and the relative size of the financial system" (Fry. The Afghan Economy, p.268).​

"slow" Money suggests that borrowing new credit has become a first resort, as if currency was "used once, then abandoned". Cp. Say's Law, i.e. people produce Quantities (Q) so as to receive others' spendings as their own income (PQ), so as to spend themselves ("same dollar spent & re-spent", high-V "fast" Money); but, with easy credit, production ("hard work") may dwindle before borrowing ("easy credit") ("one dollar borrowed to spend, another to spend again", low-V "slow" Money).

If "Money" is distinct from "credit"; then "Demand for [keeping existing] Money" (inversely proportional to V) is distinct from "Demand for [borrowing more] credit" (proportional to interest-rates)...

You're trying to learn too much too quickly. And on an internet forum is not an easy way (or an at all advisable way) to learn a subject. You're already inventing poorly defined concepts like "rate of dis-hoarding" and your own notation. That's a terrible way to approach economics. If you're interested in monetary economics, go to your library and borrow a monetary economics textbook.

The best money/banking textbook is The Economics of Money, Banking and Finance by Frederic Mishkin. It's very good. If it's not at your library (if it's a university library it'll be there), it'll be pretty easy to find a torrent.

naively, if "Interest-Rates are the Price of Credit", then the annual rate of borrowing (new Credit) multiplied by that year's Interest-Rate, at which said Credit was borrowed, resembles a "Price x Quantity" (Interest-Rate x new Borrowings). After 1980, annual borrowings were such, than annual "new Interest obligations" [billions USD] averaged circa +125 billion USD per year (nominal, not inflation adjusted):

Rates of growth
In terms of percentage changes (to a close approximation under small growth rates, the percentage change in a product, say XY, is equal to the sum of the percentage changes %&#916;X + %&#916;Y). So:

%&#916;P = %&#916;M + %&#916;V &#8211; %&#916;Q
Inflation (%&#916;P) is equal to the rate of money growth (%&#916;M), plus the change in velocity (%&#916;V), minus the rate of output growth (%&#916;Q).As before, this equation is only useful if %&#916;V follows regular behavior. It also loses usefulness if the central bank lacks control over %&#916;M.

Click to expand...

The idea is that when spending decreases (-%&#916;V) Prices (%&#916;P) can be stabilized by the FED by changing the amount of money in the economy (%&#916;M). The FED has a few ways that it can change the money supply.

The first and most common way they do this is by changing the interest rate. An increase in the interest rate shrinks the money supply, and conversely a decrease in the the interest rate increases the money supply.

from the CPI & GDP-Deflator, i scatter-plotted dP/P vs. dQ/Q, for the US economy, since 1960, i.e. %&#916;P vs. %&#916;Q

​

in general, dQ/Q > dP/P, although both hover around +3% per year; all of the (flagrant) outliers reflect "Recession" years, when outputs stalled (dQ --> 0), yet costs still soared, as if the economy "slipped a gear".

from the CPI & GDP-Deflator, i scatter-plotted dP/P vs. dQ/Q, for the US economy, since 1960, i.e. %&#916;P vs. %&#916;Q

​

in general, dQ/Q > dP/P, although both hover around +3% per year; all of the (flagrant) outliers reflect "Recession" years, when outputs stalled (dQ --> 0), yet costs still soared, as if the economy "slipped a gear".

Click to expand...

Dude, remember that exposition you're supposed to do so that we can understand what the fuck you're talking about? How do you expect to have a conversation with anybody if nobody can follow you? What's the motivation for this graph? What are you trying to think about; what questions are you trying to answer?

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